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Week - 1 |
Basic Concepts: Real numbers and the real axis, Cartesian coordinates in the plane, Graphs of quadratic equations. |
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Week - 2 |
Functions and their graphs, Odd and Even Functions, Combining functions to create new ones: Sum, difference, composition, Polynomial and Rational Functions.
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Week - 3 |
Trigonometric Functions, Limits of Functions |
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Week - 4 |
Limits at Infinity and Infinite Limits, Continuity, tangent Lines and Their Slopes |
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Week - 5 |
The Derivative, Differentiation Rules, The Chain Rule, Derivatives of Trigonometric Functions |
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Week - 6 |
EN: EN: Higher Order Derivatives, The Mean Value Theorem, Increasing and Decreasing Functions |
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Week - 7 |
Implicit Differentiation, Antiderivatives and Initial Value Problems, The Indefinite Integral |
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Week - 8 |
EN: Inverse Functions, Exponential and Logarithmic Functions, The Natural Logarithm and Exponential |
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Week - 9 |
EN: The Inverse Trigonometric Functions, Hyperbolic Functions, Indeterminite Forms |
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Week - 10 |
EN: Extreme Values, Concavity and Inflections, Sketching the Graph of a Function |
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Week - 11 |
EN: Extreme-Value Problems, Sums and Sigma Notation, Areas as Limits of Sums |
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Week - 12 |
EN: The Definite Integral, Properties of the Definite Integral |
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Week - 13 |
EN: The Fundamental Theorem of Calculus, the Method of Substitution |
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Week - 14 |
Areas of Plane Regions, Complex Numbers |
Eskisehir Technical University Info Package